Pith Number

pith:7SD5V37Y

pith:2011:7SD5V37YBXR3U7CWIZUFETTQZR

not attested not anchored not stored refs pending

Decomposable approximations of nuclear C*-algebras

Eberhard Kirchberg, Ilan Hirshberg, Stuart White

arxiv:1109.2379 v2 · 2011-09-12 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SD5V37YBXR3U7CWIZUFETTQZR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:57:00.442223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc87daeff80de3ba7c564668524e70cc5ea71f5627457aad0c32fac399bfcb8f

Aliases

arxiv: 1109.2379 · arxiv_version: 1109.2379v2 · doi: 10.48550/arxiv.1109.2379 · pith_short_12: 7SD5V37YBXR3 · pith_short_16: 7SD5V37YBXR3U7CW · pith_short_8: 7SD5V37Y

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7SD5V37YBXR3U7CWIZUFETTQZR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fc87daeff80de3ba7c564668524e70cc5ea71f5627457aad0c32fac399bfcb8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c606d5db9694e1f6ed4e5e5498018cc153317f362b40133edba94f271d5bbac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-09-12T06:08:43Z",
    "title_canon_sha256": "8c6fac6ef226b5a44946d2462bbe0a47a824ad7c7339b80444f8ec76346f2886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2379",
    "kind": "arxiv",
    "version": 2
  }
}